"metatheorem" meaning in English

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      "expansion": "meta- + theorem",
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  "etymology_text": "meta- + theorem",
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      "examples": [
        {
          "ref": "2007, Nino B. Cocchiarella, Formal Ontology and Conceptual Realism, Springer Science & Business Media, page 224",
          "text": "From these observations we conclude that we have the following metatheorem. Metatheorem 3: If φ is a theorem of second-order monadic predicate logic, then trs'(φ) is a theorem of our present conceptualist logic.",
          "type": "quotation"
        },
        {
          "ref": "2008, Walter Carnielli, Marcelo Coniglio, Dov M. Gabbay, Paula Gouveia, Cristina Sernadas, Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems, Springer Science & Business Media, page 70",
          "text": "The metatheorem of deduction will play an essential role ...",
          "type": "quotation"
        },
        {
          "ref": "1977, Theory and decision",
          "text": "This paper presents a metatheorem with the following property: Given a proven axiom-free lemma, which interrelates some of the elementary properties of a binary relation, the metatheorem mechanically transforms this lemma into its uniquely corresponding complementary lemma.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A statement about theorems proven in a metalanguage."
      ],
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      "raw_glosses": [
        "(logic) A statement about theorems proven in a metalanguage."
      ],
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        "philosophy",
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      ],
      "wikipedia": [
        "metatheorem"
      ]
    }
  ],
  "word": "metatheorem"
}

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  "etymology_templates": [
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        "2": "meta-",
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    }
  ],
  "etymology_text": "meta- + theorem",
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    {
      "form": "metatheorems",
      "tags": [
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        {
          "ref": "2007, Nino B. Cocchiarella, Formal Ontology and Conceptual Realism, Springer Science & Business Media, page 224",
          "text": "From these observations we conclude that we have the following metatheorem. Metatheorem 3: If φ is a theorem of second-order monadic predicate logic, then trs'(φ) is a theorem of our present conceptualist logic.",
          "type": "quotation"
        },
        {
          "ref": "2008, Walter Carnielli, Marcelo Coniglio, Dov M. Gabbay, Paula Gouveia, Cristina Sernadas, Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems, Springer Science & Business Media, page 70",
          "text": "The metatheorem of deduction will play an essential role ...",
          "type": "quotation"
        },
        {
          "ref": "1977, Theory and decision",
          "text": "This paper presents a metatheorem with the following property: Given a proven axiom-free lemma, which interrelates some of the elementary properties of a binary relation, the metatheorem mechanically transforms this lemma into its uniquely corresponding complementary lemma.",
          "type": "quotation"
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      ],
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        "(logic) A statement about theorems proven in a metalanguage."
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